Since its removal from the banned substances list in 2004 by the World Anti-Doping Agency, caffeine has been used by athletes with the expectancy that it enhances their workout and performance. However, few studies look at the role caffeine plays in sedentary females. Researchers at the University of Western Australia conducted a test in which they determined the rate of energy expenditure (kilojoules) on 10 healthy, sedentary females who were nonregular caffeine users. Each female was randomly assigned either a placebo or caffeine pill (6mg/kg) 60 minutes prior to exercise. The subject rode an exercise bike for 15 minutes at 65% of their maximum heart rate, and the energy expenditure was measured. The process was repeated on a separate day for the remaining treatment. The mean difference in energy expenditure (caffeine – placebo) was 18kJ with a standard deviation of 19kJ. If we assume that the differences follow a normal distribution can it be concluded that that caffeine appears to increase energy expenditure? Use a 0.001 level of significance. a) State the null and alternative hypothesis in symbols. Give a sentence describing the alternative hypotheses b) Check the requirements of the hypothesis test c) Calculate the test statistic d) Calculate the p-value e) State the decision f) State the conclusion

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Since its removal from the banned substances list in 2004 by the World Anti-Doping Agency,
caffeine has been used by athletes with the expectancy that it enhances their workout and
performance. However, few studies look at the role caffeine plays in sedentary females.
Researchers at the University of Western Australia conducted a test in which they determined the
rate of energy expenditure (kilojoules) on 10 healthy, sedentary females who were nonregular
caffeine users. Each female was randomly assigned either a placebo or caffeine pill (6mg/kg) 60
minutes prior to exercise. The subject rode an exercise bike for 15 minutes at 65% of their
maximum heart rate, and the energy expenditure was measured. The process was repeated on a
separate day for the remaining treatment. The mean difference in energy expenditure (caffeine –
placebo) was 18kJ with a standard deviation of 19kJ. If we assume that the differences follow a
normal distribution can it be concluded that that caffeine appears to increase energy expenditure?
Use a 0.001 level of significance.
a) State the null and alternative hypothesis in symbols. Give a sentence describing the
alternative hypotheses
b) Check the requirements of the hypothesis test
c) Calculate the test statistic
d) Calculate the p-value
e) State the decision
f) State the conclusion

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